Question

n a study of the accuracy of fast food​ drive-through orders, one restaurant had

3030

orders that were not accurate among

364364

orders observed. Use a

0.010.01

significance level to test the claim that the rate of inaccurate orders is equal to​ 10%. Does the accuracy rate appear to be​ acceptable?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

Upper H 0H0​:

pequals=0.10.1

Upper H 1H1​:

pless than<0.10.1

B.

Upper H 0H0​:

pequals=0.10.1

Upper H 1H1​:

pnot equals≠0.10.1

C.

Upper H 0H0​:

pnot equals≠0.10.1

Upper H 1H1​:

pequals=0.10.1

D.

Upper H 0H0​:

pequals=0.10.1

Upper H 1H1​:

pgreater than>0.10.1

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

nothing.

​(Round to two decimal places as​ needed.)

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is

nothing.

​(Round to three decimal places as​ needed.)

Identify the conclusion for this hypothesis test.

A.

RejectReject

Upper H 0H0.

There

isis

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

B.

Fail to rejectFail to reject

Upper H 0H0.

There

is notis not

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

C.

RejectReject

Upper H 0H0.

There

is notis not

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

D.

Fail to rejectFail to reject

Upper H 0H0.

There

isis

sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

Does the accuracy rate appear to be​ acceptable?

A.Since there

isis

sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.

B.Since there

is notis not

sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, it is plausible that the inaccuracy rate

isis

​10%.

This rate would be too highThis rate would be too high​,

the restaurant should work to lower the rate.the restaurant should work to lower the rate.

C.Since there

isis

sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is​ unacceptable, so the restaurant should work to lower that rate.

D.Since there

is notis not

sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the restaurant should work to higher that rate.

Click to select your answer(s).

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

b) H0 : p = 0.10

Ha : p 0.10

= x / n = 30/364 = 0.0824

P0 = 0.10

1 - P0 = 1- 0.10 = 0.90

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

=0.0824 - 0.10 / [0.10*(0.90) /364 ]

= -1.12

1 - P(z < -1.119 ) = 0.2628

P-value = 0.263

= 0.01

0.01 > 0.263

A.

Reject Upper H 0

There is sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to​ 10%.

A.Since there is sufficient evidence to reject the claim that the rate of inaccurate orders is equal to​ 10%, the inaccuracy rate is acceptable.